Résumé: In this paper, we study the stability of an inverse scattering problem with far-field data generated by one incident plane wave at a fixed frequency. We assume that the potential is a radial function. It is proved that the unknow potential can be uniquely determined by the far-field data. Within regular classe of potential we establish a stability estimate

Résumé: This paper is concerned with the inverse problem of determining geometric shape ofa part γ of the boundary of a perturbed strip Ω from a pair of Cauchy data of a harmonic function u in Ω. This leads to the study of the direct problem. Using the variational method, we show that is well posed, and by the integral equation method we seek the solution in the form of combined double- and single-layer potential. For the identification of γ we prove a uniqueness result, that is, a pair of Cauchy data on the accessible part Γ0 uniquely determines the missing part γ of the boundary, and we derive a system of nonlinear integral equations equivalent to our inverse problem. We present numerical examples for both the direct and inverse problems.